God does not forget. The Biblical idea of God remembering is that He takes action and intervenes in a situation. It reflects His movement.
So even as we plead with God to remember us favorably, it occurred to me in reading Psalm 25 that the opposite is also true. David cries out for God not to remember His iniquity. God knows all things and it is not that He becomes unaware or will forget David’s sin. It’s that He doesn’t take action against David for it. He does not remember it.
I’m so grateful that God in His grace remembers me and moves on my behalf. And that He does not remember my sin. He remembered all my iniquity on to Christ and in His mercy He promises to remember it no more.
Remember Your mercy, O Lord, and Your steadfast love, for they have been from of old. Remember not the sins of my youth or my transgressions; according to Your steadfast love remember me, for the sake of Your goodness, O Lord! Psalm 25:6-8